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Simplifying 12(7 + 2x) + -4 = 34 + -1(4x + -9) (7 * 12 + 2x * 12) + -4 = 34 + -1(4x + -9) (84 + 24x) + -4 = 34 + -1(4x + -9) Reorder the terms: 84 + -4 + 24x = 34 + -1(4x + -9) Combine like terms: 84 + -4 = 80 80 + 24x = 34 + -1(4x + -9) Reorder the terms: 80 + 24x = 34 + -1(-9 + 4x) 80 + 24x = 34 + (-9 * -1 + 4x * -1) 80 + 24x = 34 + (9 + -4x) Combine like terms: 34 + 9 = 43 80 + 24x = 43 + -4x Solving 80 + 24x = 43 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 80 + 24x + 4x = 43 + -4x + 4x Combine like terms: 24x + 4x = 28x 80 + 28x = 43 + -4x + 4x Combine like terms: -4x + 4x = 0 80 + 28x = 43 + 0 80 + 28x = 43 Add '-80' to each side of the equation. 80 + -80 + 28x = 43 + -80 Combine like terms: 80 + -80 = 0 0 + 28x = 43 + -80 28x = 43 + -80 Combine like terms: 43 + -80 = -37 28x = -37 Divide each side by '28'. x = -1.321428571 Simplifying x = -1.321428571
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